2740872960 has 432 divisors, whose sum is σ = 11115599040. Its totient is φ = 610467840.

The previous prime is 2740872943. The next prime is 2740872961. The reversal of 2740872960 is 692780472.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740872961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3305826 + ... + 3306654.

Almost surely, 2^2740872960 is an apocalyptic number.

2740872960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557799520).

2740872960 is an abundant number, since it is smaller than the sum of its proper divisors (8374726080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2740872960 is a wasteful number, since it uses less digits than its factorization.

2740872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2740872960 is about 52353.3471709307. The cubic root of 2740872960 is about 1399.4679883329.

The spelling of 2740872960 in words is "two billion, seven hundred forty million, eight hundred seventy-two thousand, nine hundred sixty".